Let F = {0, 1,2} denote the field of 3 elements. Consider the field K obtained by adjoining the solution to the polynomial X2 +1 over F. What is the characteristic of the field K? O a. 6 O b. 3 Ос. 2 O d. 9

Let F = {0, 1,2} denote the field of 3 elements. Consider the field K obtained by adjoining the solution to the polynomial X2 +1 over F. What is the characteristic of the field K? O a. 6 O b. 3 Ос. 2 O d. 9

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.6: Algebraic Extensions Of A Field

Problem 16E: Each of the polynomials in Exercises is irreducible over the given field . Find all zeros of in...

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Question

Let F = {0, 1,2} denote the field of 3 elements. Consider the field K obtained by adjoining the solution to the polynomial X2 +1 over F. What is the characteristic of the field K?
О а. 6
O b. 3
О с. 2
O d. 9

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